Finding the Third Proportional to 129,984,641,937 and 283,045,393,053
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Solution
The third proportional to 129,984,641,937 and 283,045,393,053 is: 616,339,694,710.68
Step by Step Solution
- Step 1: Write the proportion equation
129,984,641,937 : 283,045,393,053 = 283,045,393,053 : x - Step 2: Convert to fraction form
129,984,641,937/283,045,393,053 = 283,045,393,053/x - Step 3: Cross multiply
129,984,641,937x = 283,045,393,053 × 283,045,393,053 - Step 4: Simplify right side
129,984,641,937x = 80,114,694,528,527,255,994,368 - Step 5: Solve for x
x = 80,114,694,528,527,255,994,368/129,984,641,937 - Step 6: Final answer
x = 616,339,694,710.68
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.